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Finding the Fourth Proportional to 194.74, 268.97 and 142.20

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Solution

The fourth proportional to 194.74, 268.97 and 142.20 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.74 : 268.97 = 142.20 : x
  2. Step 2: Convert to fraction form
    194.74/268.97 = 142.20/x
  3. Step 3: Cross multiply
    194.74x = 268.97 × 142.20
  4. Step 4: Simplify right side
    194.74x = 38,248.16
  5. Step 5: Solve for x
    x = 38,248.16/194.74
  6. Step 6: Final answer
    x = 196.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.